Use our free GCF of Fractions Calculator tool to compute the GCF of 5098/821, 8615/2656 i.e 1/2180576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5098/821, 8615/2656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5098/821,8615/2656
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5098/821,8615/2656, numerators are 5098,8615
Denominators are 821,2656
The GCF of 5098,8615 is 1 .
LCM of 821,2656 is 2180576.
The greatest common factor of 5098/821,8615/2656 = [GCF of 5098,8615]/[LCM of 821,2656]= 1/2180576
Therefore, the GCF of 5098/821,8615/2656 is 1/2180576.
To find the highest common factor of 5098,8615, we have to find the factors of both numbers and list the highest common factor.
The factors of 5098 are 1, 2, 2549, 5098
The factors of 8615 are 1, 5, 1723, 8615
The HCF of 5098,8615 is 1.
Lets's calculate GCF of 5098,8615
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5098
:1,2,2549,5098
Now, list down the factors of 8615
:1,5,1723,8615
Greatest Common Factor
We found the factors 5098,8615 . The biggest common factor number is the GCF number.
So the greatest common factor 5098,8615 is 1.
Lets's calculate LCM of 821,2656
Given numbers has no common factors except 1. So, there LCM is their product i.e 2180576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2180576
Therefore, the GCF of Fractions 5098/821,8615/2656 is 1/2180576
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 821,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2656) x common factors =1 x 1 = 1
LCM(821,2656) = ( 821 × 2656 ) / 1
LCM(821,2656) = 2180576 / 1
LCM(821,2656) = 2180576
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5098,8615?
The HCF of 5098,8615 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5098/821, 8615/2656?
Answer: GCF of Numerators as per given numbers 5098/821, 8615/2656 is
GCF of Numerators i.e. for 5098,8615 is 1
LCM of denominators i.e. for 821,2656 is 2180576.
Thus, GCF of Fractions is 1/2180576.Finally, GCF of Fractions for 5098/821, 8615/2656 is 1/2180576.